In a test of the quality of two television commercials, each commercial was shown in a separate test area six times over a one-week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded. Commercial A Commercial B Number Who Saw Commercial 148 203 Number Who Recalled Message 62 62 Use 0c = .05 and test the hypothesis that there is no difference in the recall proportions for the two commercials. Formulate the null and the alternative hypotheses. What is the value of the test statistic (to 2 decimals)? What is the p-value (to 4 decimals)? Compute a 95% confidence interval for the difference between the recall proportions for the two populations (to 4 decimals).
In a test of the quality of two television commercials, each commercial was shown in a separate test area six times over a one-week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded.
|
Commercial A |
Commercial B |
|
|
Number Who Saw Commercial |
148 |
203 |
|
Number Who Recalled Message |
62 |
62 |
Use 0c = .05 and test the hypothesis that there is no difference in the recall proportions for the two commercials.
Formulate the null and the alternative hypotheses.
What is the value of the test statistic (to 2 decimals)?
What is the p-value (to 4 decimals)?
Compute a 95% confidence interval for the difference between the recall proportions for the two populations (to 4 decimals).
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